Atomic hyperfine resonances in a magnetic quadrupole field

Shahpoor Saeidian, Igor Lesanovsky, and Peter Schmelcher
Phys. Rev. A 76, 023424 – Published 28 August 2007

Abstract

The quantum resonances of an atom possessing a single valence electron which shows hyperfine interaction with the nucleus is investigated in the presence of a three-dimensional magnetic quadrupole field. Particular emphasis is put on the study of the interplay of the hyperfine and quadrupole forces. By analyzing the underlying Hamiltonian, a variety of symmetries are revealed, which give rise to a twofold degeneracy of the resonance energies. Our numerical approach employs the complex scaling method and a Sturmian basis set. Several regimes and classes of short- and long-lived resonances are identified. The energies and decay widths of the resonances are characterized by their electronic and nuclear spin properties.

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  • Received 12 January 2007

DOI:https://doi.org/10.1103/PhysRevA.76.023424

©2007 American Physical Society

Authors & Affiliations

Shahpoor Saeidian*

  • Physikalisches Institut, Universität Heidelberg, Philosophenweg 12, 69120 Heidelberg, Germany

Igor Lesanovsky

  • Institut Quantenoptik und Quanteninformation, Institut für Theoretische Physik, Universität Innsbruck, Technikerstrasse 21 a, A-6020 Innsbruck, Austria

Peter Schmelcher

  • Physikalisches Institut, Universität Heidelberg, Philosophenweg 12, 69120 Heidelberg, Germany and Theoretische Chemie, Institut für Physikalische Chemie, Universität Heidelberg, INF 229, 69120 Heidelberg, Germany

  • *s̱saeid@physi.uni-heidelberg.de
  • Igor.Lesanovsky@uibk.ac.at
  • Peter.Schmelcher@pci.uni-heidelberg.de

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Issue

Vol. 76, Iss. 2 — August 2007

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